369216225 has 135 divisors (see below), whose sum is σ = 808831881. Its totient is φ = 166017600.

The previous prime is 369216157. The next prime is 369216257. The reversal of 369216225 is 522612963.

The square root of 369216225 is 19215.

It is a perfect power (a square), and thus also a powerful number.

369216225 is a `hidden beast` number, since 3 + 6 + 9 + 21 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 170067681 + 199148544 = 13041^2 + 14112^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 369216225 - 2¹³ = 369208033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 369216225.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6052695 + ... + 6052755.

Almost surely, 2^369216225 is an apocalyptic number.

369216225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

369216225 is the 19215-th square number.

369216225 is the 9608-th centered octagonal number.

It is an amenable number.

369216225 is an abundant number, since it is smaller than the sum of its proper divisors (439615656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

369216225 is an equidigital number, since it uses as much as digits as its factorization.

369216225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 76 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The cubic root of 369216225 is about 717.3981612352.

Multiplying 369216225 by its sum of digits (36), we get a square (13291784100 = 115290²).

The spelling of 369216225 in words is "three hundred sixty-nine million, two hundred sixteen thousand, two hundred twenty-five".